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Simplifying -5(1 + 6v) = 27 + 2v (1 * -5 + 6v * -5) = 27 + 2v (-5 + -30v) = 27 + 2v Solving -5 + -30v = 27 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -5 + -30v + -2v = 27 + 2v + -2v Combine like terms: -30v + -2v = -32v -5 + -32v = 27 + 2v + -2v Combine like terms: 2v + -2v = 0 -5 + -32v = 27 + 0 -5 + -32v = 27 Add '5' to each side of the equation. -5 + 5 + -32v = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -32v = 27 + 5 -32v = 27 + 5 Combine like terms: 27 + 5 = 32 -32v = 32 Divide each side by '-32'. v = -1 Simplifying v = -1
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